Suppose at a local casino, a player rolls $4$ six-sided die.
The player wins a dollar each time he gets a $1$ or $2$ on one of the dice, so each game the player could win anywhere from $\$0$ to $\$4$.
The player plays the game $100$ times and is disappointed with the outcome. He wonders if the dice are fair. Out of the $100$ trials, the player ended up with the following distribution of winnings:
Is there sufficient evidence the dice are unfair?